Hi, I'm stuck on solving this problem...

Consider the initial value problem

Determine the solution as a function of .

So this is what I did so far

Sorry I dont know how to type matrix on this....

| 3.5 -0.75| * |x1|

|3 -1.5| |x2|

|3.5-λ -0.75|

|3 -1.5-λ|

λ^{2}- 2λ - 3 = 0

λ = -1

λ = 3

λ=1

|3.5-1 -0.75|

|3 -1.5-1 |

|2.5 -0.75|

|3 0.5|

This is where I'm stuck...I dont know what to do after

same for λ=3

|0.5 -0.75|

|3 -4.5|

Please help..

Thanks!